Applying Theorem 3.1 of [1]} with \(p=1, q=2, d=1\)  there and using REF , we obtain
\(E W_1(F_n,F) \le \frac{\varsigma M_1}{\sqrt{m}}, \textrm { leading to }E \left| f_m(t) - f(t)\right| \le \frac{L_2 \varsigma M_1}{\sqrt{m}}.\) 
